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Question 2 The trusswork structure shown below is built from 5 aluminium (E = ...

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Question 2

The trusswork structure shown below is built from 5 aluminium (E = 70 GPa) truss members, each with square cross section 20 x 20 mm2.

 

A 20 kN vertical load is applied at joint A and a vertical load F = 29 kN is applied at joint D.

a) Use Castigliano's theory to calculate the vertical displacement of the joint A.

A positive value indicates displacement in the same direction as which the 20 kN load is applied at A.

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